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Finding the Third Proportional to 248,357 and 539,923

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Solution

The third proportional to 248,357 and 539,923 is: 1,173,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,357 : 539,923 = 539,923 : x
  2. Step 2: Convert to fraction form
    248,357/539,923 = 539,923/x
  3. Step 3: Cross multiply
    248,357x = 539,923 × 539,923
  4. Step 4: Simplify right side
    248,357x = 291,516,845,929
  5. Step 5: Solve for x
    x = 291,516,845,929/248,357
  6. Step 6: Final answer
    x = 1,173,781.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.